On Morita theory for self-dual modules
| dc.creator | Willems, Wolfgang | |
| dc.creator | Zimmermann, Alexander | |
| dc.date | 2008-03-25 | |
| dc.date.accessioned | 2026-07-07T12:17:52Z | |
| dc.date.available | 2026-07-07T12:17:52Z | |
| dc.description | Let $G$ be a finite group and let $k$ be a field of characteristic $p$. It is known that a $kG$-module $V$ carries a non-degenerate $G$-invariant bilinear form $b$ if and only if $V$ is self-dual. We show that whenever a Morita bimodule $M$ which induces an equivalence between two blocks $B(kG)$ and $B(kH)$ of group algebras $kG$ and $kH$ is self-dual then the correspondence preserves self-duality. Even more, if the bilinear form on $M$ is symmetric then for $p$ odd the correspondence preserves the geometric type of simple modules. In characteristic 2 this holds also true for projective modules. | |
| dc.identifier | https://arxiv.org/abs/0803.3580 | |
| dc.identifier | http://arxiv.org/abs/0803.3580 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/212219 | |
| dc.subject | Representation Theory | |
| dc.title | On Morita theory for self-dual modules | |
| dc.type | text |